Write Equation
Slope
Variety
Identify
Slope Tidbits
100
Write the equation of the line in slope-intercept form:
What is y = 1/3 x - 3 ?
100
A pizza company charges a base of $4 for a pizza and $0.50 per additional topping. What value is the slope (which value changes)?
What is $0.50 ?
100
Bennett and his friends decide to go bowling. The cost for the group is $15 for shoe rentals plus $4.00 per game. Which amount is constant (which amount won't change if you play 0 or 100 games)?
What is shoe rental?
or
What is $15 ?
100
Identify the y-intercept for the function:
y = -3x
What is zero?
100
In the equation y=mx+b, this is what is represented by the m and the b.
What is m = slope
and b = y-intercept ?
200
Describe the following as a linear equation:
There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute
What is y = -25x + 120 ?
200
Amazon prime charges $8.99 a month and an additional $4.99 to rent a new release. What value represents the y-intercept (the money you will always pay)?
What is $8.99?
200
A group of dogsledders set off on an expedition with 91 pounds of dog food for their dogs. The dogs eat 7 pounds of dog food each day. Write an equation to model the total remaining dog food y (in pounds) in terms of x, the days on the expedition.
What is y = - 7x + 91 ?
200
Identify the equation that represents the relationship between x and y in the table shown below:
What is y = 5x + 5 ?
200
The 'rise' in rise/run tells us in which direction to go?
What is up or down?
300
A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours.
What is y = 30x + 20 ?
300
Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Use h for hours and c for cost. Write an equation to show this.
What is c = 8.5 h + 25.50 ?
300
The slope formula
What is
300
Elijah earn $200 for 8 hours of work. Identify the unit rate (in dollars per hour).
What is $25 per hour ?
300
This is why we want to express slope as a fraction.
What is: "We use rise over run to find the slope." ?
400
Derrick started up a charity for the local animal shelters. He started selling handmade dog leashes for $5. It cost him $120 to get the supplies to make the leashes. Write an equation for the amount of money he raises, A, if he sells x amount of leashes.
What is A = 5x - 120 ?
400
Sonia has $40 in her lunch account and pays $2 each day to eat lunch. Let d be the number of days and t be the total money left on the account. Write an equation to model the situation.
What is t = -2d + 40
400
A salesperson for an appliance store earns a monthly pay of $1250 plus a 4% commission on the sales. Write an equation in slope-intercept form that gives the total monthly pay y in terms of sales x.
What is y = 0.04 x + 1250 ?
400
In January, your ceramics class begins with 12 students. In every month after January, three new students join and one student drops out. Identify a linear equation that would model the situation.
What is y = 2x + 12 ?
400
When graphing a line, this is what you do after you graph your y-intercept.
What is find the other point (by using rise over run from the first point)
500
In 2010 the population of Massachusetts was approximately 6,631,000. During the next five years, the population increased by approximately 32,600 people per year. Write an equation to model the population P of Massachusetts in terms of t, the number of years since 2010.
What is P = 32,600 t + 6,631,000 ?
500
Find the slope of the line that passes through the points (-98, -198) and (56, -114).
What is 6/11 ?
500
In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation. After how many months will the total cost be $58?
What is 7 months?
y = 4x + 30
58 = 4x + 30
500
Identify the y-intercept for the following equation:
5(x + 3 + y) = 10x
(HINT: First write the equation in slope-intercept form)
What is b = - 3 ?
500
If two lines are perpendicular, their slopes are this.